Threshold expansion formula of $N$-boson in finite volume from variational approach
High Energy Physics - Lattice
2020-04-08 v1 Quantum Gases
High Energy Physics - Phenomenology
Abstract
In present work, we show how the threshold expansion formula of identical bosons in finite volume may be derived by iterations of Faddeev-type coupled dynamical equations. The energy shift of -boson system near threshold is dominated by zero momenta mode of -body amplitudes with all particles nearly static. The dominant zero momenta mode and sub-leading non-zero momenta mode contributions are connected through finite volume Faddeev-type coupled dynamical equations. Eliminating non-zero momenta modes by iterations ultimately yields an analytic expression that can be solved by threshold expansion.
Cite
@article{arxiv.2002.04111,
title = {Threshold expansion formula of $N$-boson in finite volume from variational approach},
author = {Peng Guo},
journal= {arXiv preprint arXiv:2002.04111},
year = {2020}
}